121216473132300 has 1440 divisors, whose sum is σ = 488123585507712. Its totient is φ = 25337925550080.

The previous prime is 121216473132263. The next prime is 121216473132301. The reversal of 121216473132300 is 3231374612121.

121216473132300 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 647 + 3 + 1 + 3 + 2 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121216473132301) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39913226382 + ... + 39913229418.

Almost surely, 2^{121216473132300} is an apocalyptic number.

121216473132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121216473132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244061792753856).

121216473132300 is an abundant number, since it is smaller than the sum of its proper divisors (366907112375412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121216473132300 is a wasteful number, since it uses less digits than its factorization.

121216473132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 121216473132300 in words is "one hundred twenty-one trillion, two hundred sixteen billion, four hundred seventy-three million, one hundred thirty-two thousand, three hundred".